1. 8-3 The Reciprocal Function Family

2. General Form of a Rational Function
Points of discontinuity (POD) =
values that make the denominator zero.
Holes: Removable POD
Vertical Asymptote(s): Non-removable POD

3. Ex) Identify the points of discontinuity,
holes and vertical asymptotes. Find the
x-intercept and y-intercept.

4. Horizontal Asymptote: if…
degree of numerator
<degree of denominator : y=0
>degree of denominator : none
=degree of denominator : y=a/b,
where a=leading coefficient of numerator,
b is leading coefficient of denominator.

5. Ex) Identify the points of discontinuity, holes,
vertical asymptotes, horizontal asymptotes,
x-intercept, y-intercept. Then graph.

6. Ex) Identify the points of discontinuity, holes,
vertical asymptotes, horizontal asymptotes,
x-intercept, y-intercept. Then graph.